Let and be two series with positive terms and suppose
If is finite and , then the two series both converge or diverge.
Limit Comparison Test
See also
Convergence Tests, Limit, Limit TestExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Limit Comparison Test." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LimitComparisonTest.html